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Finding the Fourth Proportional to 369.46, 508.62 and 313.18

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Solution

The fourth proportional to 369.46, 508.62 and 313.18 is: 431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.46 : 508.62 = 313.18 : x
  2. Step 2: Convert to fraction form
    369.46/508.62 = 313.18/x
  3. Step 3: Cross multiply
    369.46x = 508.62 × 313.18
  4. Step 4: Simplify right side
    369.46x = 159,289.61
  5. Step 5: Solve for x
    x = 159,289.61/369.46
  6. Step 6: Final answer
    x = 431.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.